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Finding the Fourth Proportional to 6,858.66, 10,287.18 and 2,698.50

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Solution

The fourth proportional to 6,858.66, 10,287.18 and 2,698.50 is: 4,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.66 : 10,287.18 = 2,698.50 : x
  2. Step 2: Convert to fraction form
    6,858.66/10,287.18 = 2,698.50/x
  3. Step 3: Cross multiply
    6,858.66x = 10,287.18 × 2,698.50
  4. Step 4: Simplify right side
    6,858.66x = 27,759,955.23
  5. Step 5: Solve for x
    x = 27,759,955.23/6,858.66
  6. Step 6: Final answer
    x = 4,047.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.